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Common Core Standard HSA-REI.D.12 Questions

Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

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Grade 11 Quadratic Equations CCSS: HSA-REI.D.12
Do the inequalities [math] y<-x^2-x [/math] and [math](y+5)^2+x^2<2[/math] overlap?
  1. Yes, they overlap
  2. No, they do not overlap
  3. No, but they touch
Grade 11 Quadratic Equations CCSS: HSA-REI.D.12
Do the inequalities [math] y<-3x^2-.1x [/math] and [math]y>x^2+2-2[/math] overlap?
  1. Yes, they overlap
  2. No, they do not overlap
  3. No, but they touch
Grade 11 Quadratic Equations CCSS: HSA-REI.D.12
Do the inequalities [math] y> x^2+4x+4 [/math] and [math]y < x-4[/math] overlap?
  1. Yes, they overlap
  2. No, they do not overlap
  3. No, but they touch
Grade 11 Quadratic Equations CCSS: HSA-REI.D.12
Do the inequalities [math] y<-x^2+2x+6 [/math] and [math]y>x^2+2-3[/math] overlap?
  1. Yes, they overlap
  2. No, they do not overlap
  3. No, but they touch
Grade 11 Quadratic Equations CCSS: HSA-REI.D.12
Do the inequalities [math] y> -3x^2+14x+2 [/math] and [math](y+4)^2+(x+5)^2=2[/math] overlap?
  1. Yes, they overlap
  2. No, they do not overlap
  3. No, but they touch

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